Number Theory Seminar
Speaker: Min Ru (University of Houston)
Title: Recent development in the study of Diophantine approximation.
Abstract: In this talk, I will begin with the Roth's theorem which is concerned with the approximation to algebraic numbers by rational numbers, and the Schmidt's subspace theorem (which extends Roth's theorem). After that, I'll discuss recent developments (breakthroughs) in extending Schmidt's subspace theorem made by Corvaja-Zannier, Evertse-Ferretti, etc., as well as my recent work with Paul Vojta. If time permits, I will also describe the relations and analogies with the Nevanlinna theory in complex geometry.